There is one quote that stands out as being directly related to Gatsby's intentions of recreating the past.
Nick grasps the idea that this is exactly what Gatsby wants to do and challenges the possibility of this notion:
“You can’t repeat the past.”
“Can’t repeat the past?” [Gatsby] cried incredulously. “Why of course you can!”
Nowhere is Gatsby's interest in capturing and re-living the past made more clear.
His project is driven by an idealism and a sense of chivalry. Having taken Daisy's innocence, as he sees it, when they are both young, Gatsby feels that it is his duty (and perhaps his destiny) to marry her and provide a life for her.
The obvious challenges that face him in this aim are, to Gatsby, ultimately irrelevant. He believes unyiedlingly in the rightness of his ideals. An undercurrent of Gatsby's character is found in this belief in the premise that nothing can stop what is right. This means that nothing is impossible when it relates to his own charmed and inevitably glorious future, for himself and for/with Daisy.